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arXiv · 2001.00428

Non-Abelian braiding of Dirac fermionic modes using topological corner states in higher-order topological insulator

Yijia Wu·Hua Jiang·Jie Liu·Haiwen Liu·X. C. Xie
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Abstract

We numerically demonstrate that the topological corner states residing in the corners of higher-order topological insulator possess non-Abelian braiding properties. Such topological corner states are Dirac fermionic modes other than Majorana zero-modes. We claim that Dirac fermionic modes protected by nontrivial topology also support non-Abelian braiding. An analytical description on such non-Abelian braiding is conducted based on the vortex-induced Dirac-type fermionic modes. The braiding operator for Dirac fermionic modes is also analytically derivated and compared with the Majorana zero-modes. Experimentally, such non-Abelian braiding operation on Dirac fermionic modes is proposed to be testified through topological electric circuit.

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Yijia Wu, Hua Jiang, Jie Liu, Haiwen Liu, X. C. Xie. 2020-01-02. Non-Abelian braiding of Dirac fermionic modes using topological corner states in higher-order topological insulator. https://doi.org/10.1103/physrevlett.125.036801

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